Question

find the length of \\(\overline{de}\\).
image of number line with points d at -4, e at \\(-1\frac{1}{3}\\), f, g at 2, h at \\(3\frac{1}{2}\\)
\\(de = \square\\)
(simplify your answer. type an integer, fraction, or mixed number.)

Explanation:

Step1: Identify coordinates of D and E

D is at -4, E is at $-1\frac{1}{3}=-\frac{4}{3}$.

Step2: Calculate distance between D and E

Distance formula on number line: $|x_2 - x_1|$. So $|-\frac{4}{3}-(-4)| = |-\frac{4}{3}+4| = |\frac{8}{3}|=\frac{8}{3}=2\frac{2}{3}$.

Answer:

$2\frac{2}{3}$